Step-by-step explanation:
right-angled triangle, and law of sine (for any type of triangles) :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and the correlated angles are always opposite from each other.
and we know that the sum of all angles in a triangle is always 180°.
so, the angle at the foot of the radio tower is 90°.
the angle from the top of the shadow to the top of the tower is 78.5°.
so, the third angle (at the top of the tower) is
180 - 90 - 78.5 = 11.5°
and with the law of sine we get
height/sin(78.5) = 64/sin(11.5)
height = 64×sin(78.5)/sin(11.5) = 314.57005... ft
Answer:
Domain: All Real Numbers
Range: All Real Numbers
Step-by-step explanation:
F is
F = {(x, y ) | x + y = 10}
(x,y) is the ordered pair
x + y = 10 is the expression
We can rearrange it
y = 10 - x
And then we can plot it using a graphing calculator. See attached image
By looking at the plot and examining the expression, we can see that there are no restrictions over x or y.
This means that the domain and range are all real numbers
Domain: All Real Numbers
Range: All Real Numbers
F is a function because it is a relation that associates each element x to a single element y.
Answer:
76
Step-by-step explanation:
Answer:
No, Dolly won't have enough money to buy the bracelet.
Step-by-step explanation:
$30.00 - $25.00 = $5.00
$10.00 is more than $5.00
<em>hope this helps :)</em>
Answer:
Step-by-step explanation:
Suppose :
62% own an HDTV
16% own a computer
Using the addition rule : suggests that (62% + 16%) = 78% either own an HDTV or a computer.
The reasoning is wrong because ; since it is possible to own both an HDTV and also own a computer at the same time, the outcome of the addition rule is wrong as both events are independent. If both event cannot occur at the same time (mutually exclusive event) , then, the addition rule may be applied,. But since both can occur independently and each family can own an HDTV while also owning a computer, then the addition rule is wrong for the scenario described.
